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Finding the Fourth Proportional to 3,163.06, 4,745.10 and 1,188.85

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Solution

The fourth proportional to 3,163.06, 4,745.10 and 1,188.85 is: 1,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.06 : 4,745.10 = 1,188.85 : x
  2. Step 2: Convert to fraction form
    3,163.06/4,745.10 = 1,188.85/x
  3. Step 3: Cross multiply
    3,163.06x = 4,745.10 × 1,188.85
  4. Step 4: Simplify right side
    3,163.06x = 5,641,188.41
  5. Step 5: Solve for x
    x = 5,641,188.41/3,163.06
  6. Step 6: Final answer
    x = 1,783.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.